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This paper presents a new numerical implementation of Koebe’s iterative method for computing the circular map of bounded and unbounded multiply connected regions of connectivity
. The computational cost of the presented method is
We provide few results on the connections between the boundary regularity of an analytic self-map of the unit disk, and the boundary limits of its hyperbolic distortion. We give a characterization of finite Blaschke products via the boundary behaviour of a weighted local hyperbolic distortion of...
New notions of directional Chebyshev constant and transfinite diameter have recently been studied on certain algebraic curves in
(Ma‘u, Indiana Univ Math J 60:1767–1796, 2011). The theory is extended here to curves in
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